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Algebra II Piecewise Functions Edited by Mrs. Harlow.

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1 Algebra II Piecewise Functions Edited by Mrs. Harlow

2 Up to now, we’ve been looking at functions represented by a single equation. In real life, however, functions are represented by a combination of equations, each corresponding to a part of the domain. These are called piecewise functions.

3 One equation gives the value of f(x) when x ≤ 1 And the other when x>1

4 Evaluate f(x) when x=0, x=2, x=4 First you have to figure out which equation to use You NEVER use both X=0 This one fits into the top equation So: 0+2=2 f(0)=2 X=2 This one fits here So: 2(2) + 1 = 5 f(2) = 5 X=4 This one fits here So: 2(4) + 1 = 9 f(4) = 9

5 Graph: For all x’s < 1, use the top graph (to the left of 1) For all x’s ≥ 1, use the bottom graph (to the right of 1)

6 x=1 is the breaking point of the graph. To the left is the top equation. To the right is the bottom equation.

7 Graph:

8 Step Functions

9

10 Graph :

11

12 Assignment


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